what is the derivative of y=√3x

Answer 1

The way you typed it, I must assume you mean
y = (√3)x
then dy/dx = √3

If you meant y = √(3x)
then
y = (3x)^(1/2)
dy/dx = (1/2)(3x)^(-1/2) (3)
= (3/2)(1/√(3x))
or some variation of that